100403424 has 144 divisors (see below), whose sum is σ = 319488624. Its totient is φ = 29644800.

The previous prime is 100403419. The next prime is 100403431. The reversal of 100403424 is 424304001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100403397 and 100403406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129502 + ... + 130274.

It is an arithmetic number, because the mean of its divisors is an integer number (2218671).

Almost surely, 2^100403424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159744312).

100403424 is an abundant number, since it is smaller than the sum of its proper divisors (219085200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100403424 is a wasteful number, since it uses less digits than its factorization.

100403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100403424 is about 10020.1508970674. The cubic root of 100403424 is about 464.7822219899.

Adding to 100403424 its reverse (424304001), we get a palindrome (524707425).

The spelling of 100403424 in words is "one hundred million, four hundred three thousand, four hundred twenty-four".